Loading [MathJax]/extensions/tex2jax.js

Integral points of bounded height on quintic del Pezzo surfaces over number fields

Research output: Working paper/PreprintPreprint

Details

Original languageEnglish
Publication statusE-pub ahead of print - 15 May 2025

Abstract

We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor.

Keywords

    math.NT, math.AG, 11G35 (Primary) 11D45, 14G05 (Secondary)

Cite this

Download
@techreport{9b4fdb8315944b3f9c5763fde39c58b6,
title = "Integral points of bounded height on quintic del Pezzo surfaces over number fields",
abstract = " We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor. ",
keywords = "math.NT, math.AG, 11G35 (Primary) 11D45, 14G05 (Secondary)",
author = "Christian Bernert and Ulrich Derenthal",
note = "25 pages",
year = "2025",
month = may,
day = "15",
doi = "10.48550/arXiv.2505.10077",
language = "English",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Integral points of bounded height on quintic del Pezzo surfaces over number fields

AU - Bernert, Christian

AU - Derenthal, Ulrich

N1 - 25 pages

PY - 2025/5/15

Y1 - 2025/5/15

N2 - We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor.

AB - We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor.

KW - math.NT

KW - math.AG

KW - 11G35 (Primary) 11D45, 14G05 (Secondary)

U2 - 10.48550/arXiv.2505.10077

DO - 10.48550/arXiv.2505.10077

M3 - Preprint

BT - Integral points of bounded height on quintic del Pezzo surfaces over number fields

ER -

By the same author(s)